Blow-up in several points for the Davey-Stewartson system in R2

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:466

Article

Feng, Binhua¹  Ren, Jiajia¹  Wang, Kai² 

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

关键词: Davey-Stewartson system;    Blow-up solution;    Blow-up points;    L-2-mass concentration;   

DOI  :  10.1016/j.jmaa.2018.06.060

来源: Elsevier

【 摘 要 】

In this paper, we study the blow-up solutions for the Davey-Stewartson system in R-2, which appears in the description of the evolution of surface water waves. For any given points x(1), ..., x(p), in R-2, we construct a solution u(t) which blows up in finite time T exactly in these points. In addition, we investigate the precise behavior of the solution u(t) as t -> T both at the blow-up points {x(1), ..., x(p)} and in R-2 \ {x(1), ..., x(p)}. Our result gives a rigorous analysis for the numerical result of Besse et al. in [2]. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free